**Print out your 9th grade math test before you begin.** It has 50 questions, but it is very comprehensive! A very detailed solution for this 9th grade math test is ready.

Name Date: _____________________

**Solve the following problems**

**1.**

+ |

**A.** y> x **BB** x = y **C. ** y> z **DD ** x> z

Name Date: _____________________

**Solve the following problems**

**1.**

+ |

**A.** y> x **BB** x = y **C. ** y> z **DD ** x> z

**2.**

A man selling hot dogs, french fries, and soda as a combo meal at a fairgrounds pays the country $ 250 per day plus $ 2 per combo meal sold. The price for a combo meal is $ 7. How many combo meals does he have to sell each day to break even?

**A.** 25th **BB** 50 **C. ** 35 **DD ** 70

**3.**

Simplify (4th^{1/3})^{3} × (6^{1/6})^{6th} × (3^{1/2})^{4th}

**A.** 416 **BB** 116 **C. ** 316 **DD ** 216

**4th**

A and B are independent events.

and P (A and B) =
1 what is P (B)? |

**5.**

a. Choose the correct information about the graphs of the following two lines

5x – y – 2 = 0

y – 3x = 9

a. **A.** Intersection at (5.5, 25.5) **BB** Parallel **C. ** Identical **DD ** Upright

b. What are the slopes of the graphics? b. _____________ and _____________

**6th**

A rectangle is 18 inches in circumference. The long side is 1 inch more than three times the small side. How big is the small side

The small side is ____________

**7th**

The seventh term of the sequence 16, 9, 2, -5, … is

**A.** -37 **BB** 37 **C. ** 26 **DD **
-26

**8th.**

Find the degree of 2x^{3} + -6x^{4th} + 4x^{2} – 1

a. **A.** 3 **BB** 2 **C. ** 4th **DD ** 3 + 4 + 2

**9.**

Find the greatest common factor of the terms of 16x^{6th} + 8x^{4th} + 2x^{12th}

**A.** 8x^{12th}**BB** 2x^{4th}**C. ** x^{6th}**DD ** 4x^{6th}

**10.**

What is the maximum or minimum value of y = x^{2} + 3x – 10?

The value is y = ____________

**11.**

Table 1

Table 2

a. What relationships are functions? Put a check mark next to the table that is a function

Table 1 ___________

Table 2 ___________

b. If a table is a function, model the table with a function.

**12th**

Rate | y – x | + -y^{2} + 2z + x^{2}y^{3}z^{-2} for x = 3, y = 2 and z = -2

**13th**

There are 6 red and 4 blue balls in a pocket.

Find every probability

P (red and red) with replace

P (red and blue) with replace

P (red and red) without replacing

P (red and blue) without replacing

**14th**

Solve 3 (2x – 1) = 4x + 5

**fifteen.**

Simplify (4x^{3} – 5x^{3} + x + 8) – (3x^{3} – 4x + 9 + 6x^{2} )

**16.**

What is the standard form of the product (3x – 1) (5x + 3)

**A.** 15x^{2} + 2x + 3 **BB** 15x^{2} + 4x – 3 **C. ** 15x^{2} + 4x + 3 **DD ** 15x^{2} + 2x – 3

**17th **

Triangle ABC is a right triangle with a right angle at A. Which of the following statements is wrong?

**18th**

Find the median and mode of this data set

5, 1, 3, 5, 8, 10, 8, 14

**19th**

Find the equations that are parallel and perpendicular to x + 5y = 50 and go through points (5, 10).

**20th**

Simplify (1.5 × 10^{8th}) (6 × 10^{-8th})

**21.**

Simplify any radical expression

a.

b.

√8x^{8th} / 2x^{2}

**21.**

Simplify any radical expression

a.

b.

√8x^{8th} / 2x^{2}

**22nd**

Solve the inequality 2y – 4x <6 for y. Then give 2 points that are solutions

**23**

a. Factor X^{2} – 8x – 20

b. Solve x^{2} – 8x – 20

**24**

Solve 12x^{2} + 7x – 10

**25th**

Solve the following relationship by setting up a relationship

Park opening times are Wednesday through Sunday, 8:00 a.m. to 10:00 p.m. A Ferris wheel can be rotated 360 degrees five times every 10 minutes. How many 360-degree rotations can the Ferris wheel make in a week?

**26.**

How can you find out how many solutions a quadratic equation has without solving the quadratic equation?

**27**

The solution of the system axis – 4y = 8 and 6x + through = -30 is (-2, -3)

1. Find a and b

2. Put a and b back into the system. Then solve the system to check that the solution is indeed (-2, -3).

**28.**

Find the value of _{6th}P._{4th}

**29**

Simplify

30x^{4th}y^{8th}z

50x^{10}y^{7th}z

**30th**

What is the value of f (x) =

-8th

x – -2

for x = -2

a. **A.** 0 **BB** not defined **C. ** 2 **DD ** -2

**31.**

Solve the equation -2 +

√y – 5

= 10

**32.**

Write a function rule for the following table

x |
y |

0 |
-4 |

6th |
-5 |

12th |
-6 |

24 |
-7 |

**33.**

Suppose x – 25 = -75, what is x + 25? What is x + 50?

**34.**

What is the diagonal of a rectangle with sides of 9 and 12?

**35.**

What are third-party solutions and what kind of equations result in third-party solutions?

**36.**

Solve and draw 4 | 2x – 5 | ≥ 20

**37.**

Graph the following functions using what you see about the plot of y = | x | knowledge

a. y = | x – 4 |

b. y = | x | + 2

c. y = 2 | x |

d. y = 2 | x – 4 | + 2

**38.**

The product of two positive integers is 45. The second is 4 more than the first. Find the whole numbers by creating an equation

**39.**

What is the percentage decrease from 12 to 4?

**40**

A company enrolls computer programmers and secretaries at a ratio of 5 to 3. There are a total of 24 secretaries and computer programmers. How many people are secretaries? How many are computer programmers?

**41.**

The price p of an article is sold with a discount of 20%. The expression that represents the selling price of the item is ___________

**A.**p – 20p **BB** 0.20p **C. ** p + 0.20p **DD ** p – 0.20p

**42.**

**43.**

The sides of a rectangle are -5x + 10 and x – 4

a. Write an expression for the girth.

b. Write an expression for the area.

c. For which value of x is the area the largest?

**44.**

Simplify

4x – 20

x^{2} – 10x + 25

**45.**

Find the function’s horizontal and vertical asymptotes below

f (x) =

-10

x – 3

+ 5

**46.**

Simplify
x – 6 |
÷
x |

**46.**

Simplify
x – 6 |
÷
x |

**47.**

Do you draw the following system of inequalities?

2y> x + 4

3y + 3x> 13

**48.**

Find x’s LCD^{5}y and x^{2}y^{4th}

**49.**

a. How many different ways can you choose 3 books from the 8 books on your shelf?

b. A 20 member club requires 2 members to lead. How many different pairs are possible?

**50.**

John has a 15 foot ladder. When he leaned the ladder against a building, the ladder forms an angle of 60 degrees with the ground. How far is it from the side of the building to the base of the ladder?

## Things To Keep In Mind On The 9th Grade Math Test

**Note**: A score of 45 or greater on this 9th grade math test is a good indication that most of the skills taught in 9th grade have been mastered

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